The Hopf Functional Approach
In this chapter we examine the possibility of extending techniques developed for the study of turbulent fluid flows to the statistical study of the dynamics of differential delay equations. Because the phase spaces of differential delay equations are infi
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Jérôme Losson Michael C. Mackey Richard Taylor Marta Tyran-Kamińska
Density Evolution Under Delayed Dynamics An Open Problem
Fields Institute Monographs VOLUME 38 The Fields Institute for Research in Mathematical Sciences Fields Institute Editorial Board: Kumar Murty, Director Deirdre Haskell, Deputy Director of the Institute James G. Arthur, University of Toronto Kenneth R. Davidson, University of Waterloo Lisa Jeffrey, University of Toronto Barbara Lee Keyfitz, Ohio State University Thomas S. Salisbury, York University Noriko Yui, Queen’s University Juris Steprans, York University
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Jérôme Losson • Michael C. Mackey Richard Taylor • Marta Tyran-Kami´nska
Density Evolution Under Delayed Dynamics An Open Problem
Jérôme Losson BC Partners London, UK Richard Taylor Department of Mathematics and Statistics Thompson Rivers University Kamloops, BC, Canada
Michael C. Mackey Department of Physiology McGill University Montreal, QC, Canada Marta Tyran-Kami´nska Institute of Mathematics University of Silesia Katowice, Poland
ISSN 1069-5273 ISSN 2194-3079 (electronic) Fields Institute Monographs ISBN 978-1-0716-1071-8 ISBN 978-1-0716-1072-5 (eBook) https://doi.org/10.1007/978-1-0716-1072-5 © Springer Science+Business Media, LLC, part of Springer Nature 2020 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. The publisher, the authors, and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, expressed or implied, with respect to the material contained herein or for any
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